Greatest Common Factor of 658/171, 7132/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 658/171, 7132/675

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 658/171,7132/675

Given fractions are 658/171,7132/675

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 658,7132

Greatest Common Factor of Numerators i.e. GCF of 658,7132 is 2 .

LCM of Denominators means LCM of 171,675 as per the given fractions.

LCM of 171,675 is 12825 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 658,7132

GCF of Fractions 658/171,7132/675 is 2/12825

2 658, 7132
329, 3566

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 658,7132 By Matching Biggest Common Factor Method

Greatest Common Factor of 658,7132 By Matching Biggest Common Factor Method

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Factors of 7132

List of positive integer factors of 7132 that divides 7132 without a remainder.

1,2,4,1783,3566,7132

Greatest Common Factor

We found the factors 658,7132 . The biggest common factor number is the GCF number.
So the greatest common factor 658,7132 is 2.

Lets's calculate LCM of 171,675

3 171, 675
3 57, 225
19, 75

∴ So the LCM of the given numbers is 3 x 3 x 19 x 75 = 12825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12825

Therefore, the GCF of Fractions 658/171,7132/675 is 2/12825

Least Common Multiple of 171,675 with GCF Formula

Least Common Multiple of 171,675 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 171,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,675) = 9

common factors(in case of two or more numbers have common factors) = 1

GCF(171,675) x common factors =9 x 1 = 9

LCM(171,675) = ( 171 × 675 ) / 9

LCM(171,675) = 115425 / 9

LCM(171,675) = 12825


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 658/171, 7132/675

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 658/171, 7132/675?

Answer: GCF of Numerators as per given numbers 658/171, 7132/675 is

GCF of Numerators i.e. for 658,7132 is 2

LCM of denominators i.e. for 171,675 is 12825.

Thus, GCF of Fractions is 2/12825.Finally, GCF of Fractions for 658/171, 7132/675 is 2/12825.